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Finding the Fourth Proportional to 50,226.84, 69,315.21 and 30,087

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Solution

The fourth proportional to 50,226.84, 69,315.21 and 30,087 is: 41,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226.84 : 69,315.21 = 30,087 : x
  2. Step 2: Convert to fraction form
    50,226.84/69,315.21 = 30,087/x
  3. Step 3: Cross multiply
    50,226.84x = 69,315.21 × 30,087
  4. Step 4: Simplify right side
    50,226.84x = 2,085,486,723.27
  5. Step 5: Solve for x
    x = 2,085,486,723.27/50,226.84
  6. Step 6: Final answer
    x = 41,521.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.